Welcome to the website of researchers working in Bilbao (either at UPV/EHU or at BCAM) in mathematical analysis, partial differential equations, inverse problems, mathematical physics, and/or related topics.
UPV/EHU, Tuesday, September 16th, 2025, 11:30 - 13:00
Title: Unique Continuation Principles of Nonlinear Dispersive Equations
Gustavo Ponce - University of California - Santa Barbara
This talk is concerned with unique continuation properties (UCP) of some non-linear dispersive equations. We study both the local UCP and the asymptotic at infinity UCP. The dispersive model to be considered include the Korteweg-de Vries eq., the NLS nonlinear Schrödinger eq., the Camassa-Holm eq. and Benjamin-Ono eq (and related models). We will see that some of the known results have been shown to be sharp and others are only known under special restrictions.
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Title: Unique continuation for nonlocal dispersive equations
Carlos Kenig - University of Chicago
We will discuss recent works on unique continuation for nonlocal nonlinear dispersive equations, including the Benjamin-Ono and water wave equations as well as variable coefficient versions of them. This describes joint works with Pilod, Ponce and Vega.